Let R be the region bounded by y = 2 sin (r), y =2(x - 2)², and y=x+1, and containing the point (2,2). a) Find the area of R b) Find the volume of R rotated about the x-axis c) Find the volume of R rotated about the y-axis d) Suppose R is the base of a shape in which cross-sections perpendicular to the x-axis are squares. Find the volume of this shape.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Let R be the region bounded by y = 2 sin (2), y =
point (2,2).
a) Find the area of R
b) Find the volume of R rotated about the x-axis
c) Find the volume of R rotated about the y-axis
= 2(x - 2)2, and y = z +1, and containing the
d) Suppose R is the base of a shape in which cross-sections perpendicular to the x-axis are squares. Find the
volume of this shape.
Check Answer
Transcribed Image Text:Let R be the region bounded by y = 2 sin (2), y = point (2,2). a) Find the area of R b) Find the volume of R rotated about the x-axis c) Find the volume of R rotated about the y-axis = 2(x - 2)2, and y = z +1, and containing the d) Suppose R is the base of a shape in which cross-sections perpendicular to the x-axis are squares. Find the volume of this shape. Check Answer
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